Search a number
-
+
12200211200 = 28523161493
BaseRepresentation
bin10110101110011000…
…00111001100000000
31011111020211221111002
423113030013030000
5144441223224300
65334340511132
7611222040602
oct132714071400
934436757432
1012200211200
1151a0779281
1224459ab4a8
1311c5793ca8
1483a457172
154b611c5d5
hex2d7307300

12200211200 has 108 divisors (see below), whose sum is σ = 31172046528. Its totient is φ = 4722585600.

The previous prime is 12200211137. The next prime is 12200211209. The reversal of 12200211200 is 211200221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12200211209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167654 + ... + 229146.

Almost surely, 212200211200 is an apocalyptic number.

12200211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15586023264).

12200211200 is an abundant number, since it is smaller than the sum of its proper divisors (18971835328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12200211200 is an equidigital number, since it uses as much as digits as its factorization.

12200211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61550 (or 61531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12200211200 its reverse (211200221), we get a palindrome (12411411421).

It can be divided in two parts, 1220021 and 1200, that added together give a palindrome (1221221).

The spelling of 12200211200 in words is "twelve billion, two hundred million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 256 310 320 400 496 620 640 775 800 992 1240 1280 1550 1600 1984 2480 3100 3200 3968 4960 6200 6400 7936 9920 12400 19840 24800 39680 49600 61493 99200 122986 198400 245972 307465 491944 614930 983888 1229860 1537325 1906283 1967776 2459720 3074650 3812566 3935552 4919440 6149300 7625132 7871104 9531415 9838880 12298600 15250264 15742208 19062830 19677760 24597200 30500528 38125660 39355520 47657075 49194400 61001056 76251320 78711040 95314150 98388800 122002112 152502640 190628300 196777600 244004224 305005280 381256600 393555200 488008448 610010560 762513200 1220021120 1525026400 2440042240 3050052800 6100105600 12200211200